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In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x2 - 11x + 24 = 0

II. y2 - 13y + 40 = 0


1. x > y
2. x < y
3. x ≥ y
4. x ≤ y
5.

x = y or relation between x and y can not be established.

1 Answer

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Best answer
Correct Answer - Option 5 :

x = y or relation between x and y can not be established.


Given:

I. x2 - 11x + 24 = 0

II. y2 - 13y + 40 = 0

Calculation:

From I,

I. x2 - 11x + 24 = 0

⇒ x2 - 8x - 3x + 24 = 0

⇒ x(x - 8) - 3(x - 8) = 0

⇒ (x - 8)(x - 3) = 0

Taking,

⇒ (x - 8) = 0 or (x - 3) = 0

⇒ x = 8 or 3

From II,

y2 - 13y + 40 = 0

⇒ y2 - 8y - 5y + 40 = 0

⇒ y(y - 8) - 5(y - 8) = 0

⇒ (y - 8)(y - 5) = 0

Taking,

⇒ (y - 8) = 0 or (y - 5) = 0

⇒ y = 8 or 5

Comparison between x and y (via Tabulation):

Value of x

Value of y

Relation

8

8

x = y

8

5

x > y

3

8

x < y

3

5

x < y

 

x = y or relation between x and y can not be established.

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